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On Locally and Globally Optimal Solutions in Scalar Variational Control Problems

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  • Savin Treanţă

    (Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

In this paper, optimality conditions are studied for a new class of PDE and PDI-constrained scalar variational control problems governed by path-independent curvilinear integral functionals. More precisely, we formulate and prove a minimal criterion for a local optimal solution of the considered PDE and PDI-constrained variational control problem to be its global optimal solution. The effectiveness of the main result is validated by a two-dimensional non-convex scalar variational control problem.

Suggested Citation

  • Savin Treanţă, 2019. "On Locally and Globally Optimal Solutions in Scalar Variational Control Problems," Mathematics, MDPI, vol. 7(9), pages 1-8, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:9:p:829-:d:264917
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    References listed on IDEAS

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    1. Zang, I. & Choo, E.U. & Avriel, M., 1977. "On functions whose stationary points are global minima," LIDAM Reprints CORE 308, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Пигнастый, Олег & Koжевников, Георгий, 2019. "Распределенная Динамическая Pde-Модель Программного Управления Загрузкой Технологического Оборудования Производственной Линии [Distributed dynamic PDE-model of a program control by utilization of t," MPRA Paper 93278, University Library of Munich, Germany, revised 02 Feb 2019.
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